Multismoothness in Banach spaces

Lin, Bor-Luh ; Rao, T. S. S. R. K. (2007) Multismoothness in Banach spaces International Journal of Mathematics and Mathematical Sciences, 2007 . pp. 1-12. ISSN 0161-1712

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In this paper, motivated by the results published by R. Khalil and A. Saleh in 2005, we study the notion of k-smooth points and the notion of k-smoothness, which are dual to the notion of k-rotundity. Generalizing these notions and combining smoothness with the recently introduced notion of unitary, we study classes of Banach spaces for which the vector space, spanned by the state space corresponding to a unit vector, is a closed set.

Item Type:Article
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ID Code:64791
Deposited On:14 Oct 2011 05:18
Last Modified:18 May 2016 13:05

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